6ab=3a

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Solution for 6ab=3a equation:


Simplifying
6ab = 3a

Solving
6ab = 3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a' to each side of the equation.
-3a + 6ab = 3a + -3a

Combine like terms: 3a + -3a = 0
-3a + 6ab = 0

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-1 + 2b) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-1 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Add '-2b' to each side of the equation. 2b + -2b = 1 + -2b Combine like terms: 2b + -2b = 0 0 = 1 + -2b Simplifying 0 = 1 + -2b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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